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Finding the Third Proportional to 65,592 and 95,806

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Solution

The third proportional to 65,592 and 95,806 is: 139,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,592 : 95,806 = 95,806 : x
  2. Step 2: Convert to fraction form
    65,592/95,806 = 95,806/x
  3. Step 3: Cross multiply
    65,592x = 95,806 × 95,806
  4. Step 4: Simplify right side
    65,592x = 9,178,789,636
  5. Step 5: Solve for x
    x = 9,178,789,636/65,592
  6. Step 6: Final answer
    x = 139,937.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.